Motion Switching and Chaos of a Particle in a Generalized Fermi-Acceleration Oscillator

Table 1

Summary of driving frequency for periodic motions (𝑚₁=0.01, 𝑚₂=1, 𝑘=10, 𝑐=6, 𝑒₁=0.9, 𝑒₂=0.7, ℎ=1, 𝑄=0.5).

	Mapping		Excitation		Mapping		Excitation
	Structure		Frequency		Structure
1	𝑃(321)2	P(2T)	(6.33, 6.56)	16	𝑃(32121)2	P(4T)	(11.01, 11.05) (11.35, 11.40)
2	𝑃321	P(T)	(6.56, 7.01)	17	𝑃32121	P(2T)	(11.05, 11.16) (11.40, 11.52)
3	𝑃(333321)2	P(2T)	(7.41, 7.43)	18	𝑃(321)4	P(8T)	(11.75, 11.76)
4	𝑃3(321)2	P(3T)	(7.60, 7.80) (7.91, 7.93)	19	𝑃(321)2	P(4T)	(11.76, 11.77)
5	𝑃(33(321)2)^2	P(6T)	(7.87, 7.89)	20	𝑃32	P(4T)	(11.77, 11.79)
6	𝑃33(321)2	P(3T)	(8.05, 8.07) (8.18, 8.20)	21	𝑃34	P(8T)	(11.79, 11.80)
7	𝑃3(3(321)2)^2	P(6T)	(8.27, 8.29)	22	𝑃(21)4	P(4T)	(19.15, 19.40)
8	𝑃(33321)2	P(6T)	(8.62, 8.64)	23	𝑃(21)2	P(2T)	(19.40, 21.25)
9	𝑃(3(3321)2)^2	P(8T)	(8.76, 8.78)	24	𝑃21	P(T)	(21.25, 35.20)
10	𝑃3(3321)2	P(4T)	(8.94, 8.96)	25	𝑃(21)4	P(8T)	(56.42, 56.92)
11	𝑃(3321)4	P(8T)	(9.06, 9.07)	26	𝑃(21)2	P(4T)	(56.92, 59.35)
12	𝑃(3321)2	P(4T)	(9.07, 9.09) (9.81, 9.83)	27	𝑃21	P(2T)	(59.35, 70.23)
14	𝑃(321)233(21)2	P(6T)	(10.42, 10.44)	28	Chaos & Complex Motion	—	(7.01, 19.15) (19.15, 35.20) (70.23, 80.00)
15	𝑃(32121)4	P(8T)	(11.00, 11.01) (11.34, 11.35)